Quantum Informational Geometrodynamics: A Unified Framework for Emergent Spacetime, Gravitation, and Gauge Interactions
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We develop a unified theoretical framework—Quantum Informational Geometrodynamics (Q-IG)—in which spacetime geometry, gravitational dynamics, gauge symmetries, and matter excitations emerge from a discrete, causal network of quantum informational degrees of freedom. By postulating a fundamental informational metric derived from quantum mutual information, we recover Einstein’s field equations via a variational principle, interpret Standard Model gauge groups as invariances of topological-entanglement motifs, and identify elementary particles as solitonic excitations stabilized by topological charges. The framework yields testable predictions, including modified dispersion relations, Planck-scale corrections to black hole entropy, and a universal background of informational noise. This work consolidates the full mathematical and conceptual structure of Q-IG, offering a falsifiable path toward a quantum theory of gravity grounded in informational principles.Submission status: This preprint is currently under review at Foundations of Physics (Springer), submitted May 2025.